To calibrate a prism spectrometer, a student sends light of 10different known wavelengths ? throughthe spectrometer and measuresthe angle ? by which each beam is deflected. Using these results,he makes a calibration curve like Figure 3.8 showing ? as afunction of ?. For the first value of ?, he measures ? six timesand obtains these results (in degrees): 52.5, 52.3, 52.6, 52.5,52.7, 52.4. For each of the nine remainning values of ?, hemeasures the corresponding value of ? just once. What should hetake for the uncertainty in each of these nine measurements of??

 

Chapter 3: Propagation of Uncertainties Wavelength (nm)- 700 650 400 600 550 500 51 500 490 480 52.4 52 53 Deflection (degrees) - 52.6 54 52.8 Figure 3.8. Calibration curve of wavelength A against deflection for a spectrometer, for Problem 3.30. 8f? If a = 3 function fla 3.32. function q cated, eval which (3.2 rived for need to be Particular finding q (a) If you the funct Use this Sq. (b) the rulo